Basic Math Examples

Simplify 1/( cube root of 36)
13361336
Step 1
Multiply 13361336 by 3362336233623362.
133633623362133633623362
Step 2
Combine and simplify the denominator.
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Step 2.1
Multiply 13361336 by 3362336233623362.
3362336336233623363362
Step 2.2
Raise 336336 to the power of 11.
336233613362336233613362
Step 2.3
Use the power rule aman=am+naman=am+n to combine exponents.
33623361+233623361+2
Step 2.4
Add 11 and 22.
3362336333623363
Step 2.5
Rewrite 33633363 as 3636.
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Step 2.5.1
Use nax=axnnax=axn to rewrite 336336 as 36133613.
3362(3613)33362(3613)3
Step 2.5.2
Apply the power rule and multiply exponents, (am)n=amn(am)n=amn.
336236133336236133
Step 2.5.3
Combine 1313 and 33.
3362363333623633
Step 2.5.4
Cancel the common factor of 33.
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Step 2.5.4.1
Cancel the common factor.
3362363333623633
Step 2.5.4.2
Rewrite the expression.
33623613362361
33623613362361
Step 2.5.5
Evaluate the exponent.
336236336236
336236336236
336236336236
Step 3
Simplify the numerator.
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Step 3.1
Rewrite 33623362 as 33623362.
336236336236
Step 3.2
Raise 3636 to the power of 22.
31296363129636
Step 3.3
Rewrite 12961296 as 636636.
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Step 3.3.1
Factor 216216 out of 12961296.
3216(6)363216(6)36
Step 3.3.2
Rewrite 216216 as 6363.
363636363636
363636363636
Step 3.4
Pull terms out from under the radical.
6363663636
6363663636
Step 4
Cancel the common factor of 66 and 3636.
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Step 4.1
Factor 66 out of 636636.
6(36)366(36)36
Step 4.2
Cancel the common factors.
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Step 4.2.1
Factor 66 out of 3636.
6366663666
Step 4.2.2
Cancel the common factor.
6366663666
Step 4.2.3
Rewrite the expression.
366366
366366
366366
Step 5
The result can be shown in multiple forms.
Exact Form:
366366
Decimal Form:
0.302853430.30285343
 [x2  12  π  xdx ]  x2  12  π  xdx